The spectral Einstein functional for the Dirac operator with torsion
Jin Hong, Yong Wang
本文计算了偶数维无边界自旋流形上带挠率的Dirac算子的谱Einstein泛函，给出了其显式表达式。
本文计算了无边界偶数维自旋流形上带挠率的Dirac算子所关联的谱Einstein泛函。
In this paper, we compute the spectral Einstein functional associated with the Dirac operator with torsion on even-dimensional spin manifolds without boundary.
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受谱挠率与1-形式缩放Dirac算子启发，本文提出了Dirac算子谱挠率的新扩展，并计算了无边偶数维自旋流形上1-形式缩放Dirac算子的谱挠率。
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该研究推导了带挠率的Dirac算子的$J$-扭的Lichnerowicz型公式，并在4维和6维带边界近乘积黎曼自旋流形上证明了对应的Kastler-Kalau-Walze型定理，拓展了非交换几何相关结果。
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本文通过函数扰动构造四种重标度狄拉克算子，并利用三线性克利福德乘法在偶数维定向紧自旋黎曼流形上计算其谱挠率。
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